An ice skater with rotational inertia I0 is spinning with angular speed omega subscript 0. She pulls her arms in, thereby increasing her angular speed to 4 omega subscript 0 . Her rotational inertia is then: a. 2 I0 b. I0 c. I0 /2 d. I0 /4 e. 4 I0

d. I0 /4

Explanation:

Given that:

Initial angular velocity of the skater =

After pulling arms, angular velocity changes to =

Provided that no external torque is acting on skater;

Then:

The torque

where;

It implies that:

where;

L = constant

So;

  distance on the y-axis and time on the x-axis.

explanation:

the instantaneous velocity = change in position/time taken

the slope of the graph should give instantaneous velocity.

  slope of a graph = change in value of y -axis / change in values of x -axis

  comparing both the equations

    change in value of y -axis = change in position

  change in values of x -axis = time taken

so position values should be on the y axis and time values should be on the x axis.

distance on the y-axis and time on the x-axis.